On k-Order Jacobsthal Polynomials and Their Properties
5th International Conference on Mathematics and its Applications in Science and Engineering, ICMASE 2024, Coimbra, Portekiz, 16 - 18 Eylül 2024, cilt.490, ss.305-313, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 490
- Doi Numarası: 10.1007/978-3-031-84151-4_26
- Basıldığı Şehir: Coimbra
- Basıldığı Ülke: Portekiz
- Sayfa Sayıları: ss.305-313
- Anahtar Kelimeler: Companion matrix, Fibonacci−Jacobsthal fundamental system, Jacobsthal polynomials, k-order Jacobsthal polynomials
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In the present study, by the motivation of the papers in the literature, we initially characterize k-order Jacobsthal polynomials and establish the general form for the powers of their related class of companion matrices. More precisely, we give some explicit formulas of the entries of the powers Qkn(x) via the Fibonacci-Jacobsthal fundamental system. Consequently, this approach allows us to shed light on studies on Jacobsthal polynomials.